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Finding the Third Proportional to 84,314 and 180,647

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Solution

The third proportional to 84,314 and 180,647 is: 387,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,314 : 180,647 = 180,647 : x
  2. Step 2: Convert to fraction form
    84,314/180,647 = 180,647/x
  3. Step 3: Cross multiply
    84,314x = 180,647 × 180,647
  4. Step 4: Simplify right side
    84,314x = 32,633,338,609
  5. Step 5: Solve for x
    x = 32,633,338,609/84,314
  6. Step 6: Final answer
    x = 387,045.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.